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Question: A flywheel gains a speed of 540 r.p.m. in 6 sec. Its angular acceleration will be:...

A flywheel gains a speed of 540 r.p.m. in 6 sec. Its angular acceleration will be:

A

3p rad/sec2

B

9 p rad/sec2

C

18 p rad/sec2

D

54p rad/sec2

Answer

3p rad/sec2

Explanation

Solution

α=ωt=2πnt=2π(54060)6=3πrad/s2\alpha = \frac{\omega}{t} = \frac{2\pi n}{t} = \frac{2\pi\left( \frac{540}{60} \right)}{6} = 3\pi rad ⥂ / ⥂ s^{2}